What is the Least Common Multiple of 77140 and 77157?

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 77140 and 77157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77140 and 77157, than apply into the LCM equation.

GCF(77140,77157) = 1
LCM(77140,77157) = ( 77140 × 77157) / 1
LCM(77140,77157) = 5951890980 / 1
LCM(77140,77157) = 5951890980

Least Common Multiple (LCM) of 77140 and 77157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77140 and 77157. First we will calculate the prime factors of 77140 and 77157.

Prime Factorization of 77140

Prime Factorization of 77157

Now multiplying the highest exponent prime factors to calculate the LCM of 77140 and 77157.

LCM(77140,77157) = 2² × 5¹ × 7¹ × 19¹ × 29¹ × 3² × 8573¹
LCM(77140,77157) = 5951890980