What is the Least Common Multiple of 88657 and 88670?
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 88657 and 88670 is 7861216190.
LCM(88657,88670) = 7861216190
Least Common Multiple of 88657 and 88670 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88657 and 88670, than apply into the LCM equation.
GCF(88657,88670) = 1
LCM(88657,88670) = ( 88657 × 88670) / 1
LCM(88657,88670) = 7861216190 / 1
LCM(88657,88670) = 7861216190
Least Common Multiple (LCM) of 88657 and 88670 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88657 and 88670. First we will calculate the prime factors of 88657 and 88670.
Prime Factorization of 88657
Prime factors of 88657 are 88657. Prime factorization of 88657 in exponential form is:
88657 = 886571
Prime Factorization of 88670
Prime factors of 88670 are 2, 5, 8867. Prime factorization of 88670 in exponential form is:
88670 = 21 × 51 × 88671
Now multiplying the highest exponent prime factors to calculate the LCM of 88657 and 88670.
LCM(88657,88670) = 886571 × 21 × 51 × 88671
LCM(88657,88670) = 7861216190
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