What is the Least Common Multiple of 77936 and 77953?

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 77936 and 77953 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77936 and 77953, than apply into the LCM equation.

GCF(77936,77953) = 1
LCM(77936,77953) = ( 77936 × 77953) / 1
LCM(77936,77953) = 6075345008 / 1
LCM(77936,77953) = 6075345008

Least Common Multiple (LCM) of 77936 and 77953 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77936 and 77953. First we will calculate the prime factors of 77936 and 77953.

Prime Factorization of 77936

Prime Factorization of 77953

Now multiplying the highest exponent prime factors to calculate the LCM of 77936 and 77953.

LCM(77936,77953) = 2⁴ × 4871¹ × 137¹ × 569¹
LCM(77936,77953) = 6075345008