What is the Least Common Multiple of 77654 and 77666?

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 77654 and 77666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77654 and 77666, than apply into the LCM equation.

GCF(77654,77666) = 2
LCM(77654,77666) = ( 77654 × 77666) / 2
LCM(77654,77666) = 6031075564 / 2
LCM(77654,77666) = 3015537782

Least Common Multiple (LCM) of 77654 and 77666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77654 and 77666. First we will calculate the prime factors of 77654 and 77666.

Prime Factorization of 77654

Prime Factorization of 77666

Now multiplying the highest exponent prime factors to calculate the LCM of 77654 and 77666.

LCM(77654,77666) = 2¹ × 41¹ × 947¹ × 38833¹
LCM(77654,77666) = 3015537782