What is the Least Common Multiple of 93802 and 93815?
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 93802 and 93815 is 8800034630.
LCM(93802,93815) = 8800034630
Least Common Multiple of 93802 and 93815 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93802 and 93815, than apply into the LCM equation.
GCF(93802,93815) = 1
LCM(93802,93815) = ( 93802 × 93815) / 1
LCM(93802,93815) = 8800034630 / 1
LCM(93802,93815) = 8800034630
Least Common Multiple (LCM) of 93802 and 93815 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93802 and 93815. First we will calculate the prime factors of 93802 and 93815.
Prime Factorization of 93802
Prime factors of 93802 are 2, 46901. Prime factorization of 93802 in exponential form is:
93802 = 21 × 469011
Prime Factorization of 93815
Prime factors of 93815 are 5, 29, 647. Prime factorization of 93815 in exponential form is:
93815 = 51 × 291 × 6471
Now multiplying the highest exponent prime factors to calculate the LCM of 93802 and 93815.
LCM(93802,93815) = 21 × 469011 × 51 × 291 × 6471
LCM(93802,93815) = 8800034630
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