What is the Least Common Multiple of 50601 and 50607?
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 50601 and 50607 is 853588269.
LCM(50601,50607) = 853588269
Least Common Multiple of 50601 and 50607 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50601 and 50607, than apply into the LCM equation.
GCF(50601,50607) = 3
LCM(50601,50607) = ( 50601 × 50607) / 3
LCM(50601,50607) = 2560764807 / 3
LCM(50601,50607) = 853588269
Least Common Multiple (LCM) of 50601 and 50607 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50601 and 50607. First we will calculate the prime factors of 50601 and 50607.
Prime Factorization of 50601
Prime factors of 50601 are 3, 101, 167. Prime factorization of 50601 in exponential form is:
50601 = 31 × 1011 × 1671
Prime Factorization of 50607
Prime factors of 50607 are 3, 5623. Prime factorization of 50607 in exponential form is:
50607 = 32 × 56231
Now multiplying the highest exponent prime factors to calculate the LCM of 50601 and 50607.
LCM(50601,50607) = 32 × 1011 × 1671 × 56231
LCM(50601,50607) = 853588269
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