What is the Least Common Multiple of 77074 and 77081?

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 77074 and 77081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77074 and 77081, than apply into the LCM equation.

GCF(77074,77081) = 1
LCM(77074,77081) = ( 77074 × 77081) / 1
LCM(77074,77081) = 5940940994 / 1
LCM(77074,77081) = 5940940994

Least Common Multiple (LCM) of 77074 and 77081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77074 and 77081. First we will calculate the prime factors of 77074 and 77081.

Prime Factorization of 77074

Prime Factorization of 77081

Now multiplying the highest exponent prime factors to calculate the LCM of 77074 and 77081.

LCM(77074,77081) = 2¹ × 89¹ × 433¹ × 77081¹
LCM(77074,77081) = 5940940994