What is the Least Common Multiple of 46616 and 46620?
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 46616 and 46620 is 543309480.
LCM(46616,46620) = 543309480
Least Common Multiple of 46616 and 46620 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46616 and 46620, than apply into the LCM equation.
GCF(46616,46620) = 4
LCM(46616,46620) = ( 46616 × 46620) / 4
LCM(46616,46620) = 2173237920 / 4
LCM(46616,46620) = 543309480
Least Common Multiple (LCM) of 46616 and 46620 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 46616 and 46620. First we will calculate the prime factors of 46616 and 46620.
Prime Factorization of 46616
Prime factors of 46616 are 2, 5827. Prime factorization of 46616 in exponential form is:
46616 = 23 × 58271
Prime Factorization of 46620
Prime factors of 46620 are 2, 3, 5, 7, 37. Prime factorization of 46620 in exponential form is:
46620 = 22 × 32 × 51 × 71 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 46616 and 46620.
LCM(46616,46620) = 23 × 58271 × 32 × 51 × 71 × 371
LCM(46616,46620) = 543309480
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