What is the Least Common Multiple of 94602 and 94608?
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 94602 and 94608 is 1491684336.
LCM(94602,94608) = 1491684336
Least Common Multiple of 94602 and 94608 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94602 and 94608, than apply into the LCM equation.
GCF(94602,94608) = 6
LCM(94602,94608) = ( 94602 × 94608) / 6
LCM(94602,94608) = 8950106016 / 6
LCM(94602,94608) = 1491684336
Least Common Multiple (LCM) of 94602 and 94608 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94602 and 94608. First we will calculate the prime factors of 94602 and 94608.
Prime Factorization of 94602
Prime factors of 94602 are 2, 3, 15767. Prime factorization of 94602 in exponential form is:
94602 = 21 × 31 × 157671
Prime Factorization of 94608
Prime factors of 94608 are 2, 3, 73. Prime factorization of 94608 in exponential form is:
94608 = 24 × 34 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 94602 and 94608.
LCM(94602,94608) = 24 × 34 × 157671 × 731
LCM(94602,94608) = 1491684336
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