What is the Least Common Multiple of 77920 and 77938?

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 77920 and 77938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77920 and 77938, than apply into the LCM equation.

GCF(77920,77938) = 2
LCM(77920,77938) = ( 77920 × 77938) / 2
LCM(77920,77938) = 6072928960 / 2
LCM(77920,77938) = 3036464480

Least Common Multiple (LCM) of 77920 and 77938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77920 and 77938. First we will calculate the prime factors of 77920 and 77938.

Prime Factorization of 77920

Prime Factorization of 77938

Now multiplying the highest exponent prime factors to calculate the LCM of 77920 and 77938.

LCM(77920,77938) = 2⁵ × 5¹ × 487¹ × 7¹ × 19¹ × 293¹
LCM(77920,77938) = 3036464480