What is the Least Common Multiple of 94701 and 94707?
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 94701 and 94707 is 2989615869.
LCM(94701,94707) = 2989615869
Least Common Multiple of 94701 and 94707 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94701 and 94707, than apply into the LCM equation.
GCF(94701,94707) = 3
LCM(94701,94707) = ( 94701 × 94707) / 3
LCM(94701,94707) = 8968847607 / 3
LCM(94701,94707) = 2989615869
Least Common Multiple (LCM) of 94701 and 94707 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94701 and 94707. First we will calculate the prime factors of 94701 and 94707.
Prime Factorization of 94701
Prime factors of 94701 are 3, 31567. Prime factorization of 94701 in exponential form is:
94701 = 31 × 315671
Prime Factorization of 94707
Prime factors of 94707 are 3, 17, 619. Prime factorization of 94707 in exponential form is:
94707 = 32 × 171 × 6191
Now multiplying the highest exponent prime factors to calculate the LCM of 94701 and 94707.
LCM(94701,94707) = 32 × 315671 × 171 × 6191
LCM(94701,94707) = 2989615869
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