What is the Least Common Multiple of 46924 and 46930?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 46924 and 46930 is 1101071660.
LCM(46924,46930) = 1101071660
Least Common Multiple of 46924 and 46930 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46924 and 46930, than apply into the LCM equation.
GCF(46924,46930) = 2
LCM(46924,46930) = ( 46924 × 46930) / 2
LCM(46924,46930) = 2202143320 / 2
LCM(46924,46930) = 1101071660
Least Common Multiple (LCM) of 46924 and 46930 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 46924 and 46930. First we will calculate the prime factors of 46924 and 46930.
Prime Factorization of 46924
Prime factors of 46924 are 2, 11731. Prime factorization of 46924 in exponential form is:
46924 = 22 × 117311
Prime Factorization of 46930
Prime factors of 46930 are 2, 5, 13, 19. Prime factorization of 46930 in exponential form is:
46930 = 21 × 51 × 131 × 192
Now multiplying the highest exponent prime factors to calculate the LCM of 46924 and 46930.
LCM(46924,46930) = 22 × 117311 × 51 × 131 × 192
LCM(46924,46930) = 1101071660
Related Least Common Multiples of 46924
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Related Least Common Multiples of 46930
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