What is the Least Common Multiple of 49609 and 49628?

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 of 49609 and 49628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49609 and 49628, than apply into the LCM equation.

GCF(49609,49628) = 19
LCM(49609,49628) = ( 49609 × 49628) / 19
LCM(49609,49628) = 2461995452 / 19
LCM(49609,49628) = 129578708

Least Common Multiple (LCM) of 49609 and 49628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49609 and 49628. First we will calculate the prime factors of 49609 and 49628.

Prime Factorization of 49609

Prime Factorization of 49628

Now multiplying the highest exponent prime factors to calculate the LCM of 49609 and 49628.

LCM(49609,49628) = 7¹ × 19¹ × 373¹ × 2² × 653¹
LCM(49609,49628) = 129578708