What is the Least Common Multiple of 77114 and 77130?

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 77114 and 77130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77114 and 77130, than apply into the LCM equation.

GCF(77114,77130) = 2
LCM(77114,77130) = ( 77114 × 77130) / 2
LCM(77114,77130) = 5947802820 / 2
LCM(77114,77130) = 2973901410

Least Common Multiple (LCM) of 77114 and 77130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77114 and 77130. First we will calculate the prime factors of 77114 and 77130.

Prime Factorization of 77114

Prime Factorization of 77130

Now multiplying the highest exponent prime factors to calculate the LCM of 77114 and 77130.

LCM(77114,77130) = 2¹ × 38557¹ × 3² × 5¹ × 857¹
LCM(77114,77130) = 2973901410