What is the Least Common Multiple of 56649 and 56666?

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 56649 and 56666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56649 and 56666, than apply into the LCM equation.

GCF(56649,56666) = 1
LCM(56649,56666) = ( 56649 × 56666) / 1
LCM(56649,56666) = 3210072234 / 1
LCM(56649,56666) = 3210072234

Least Common Multiple (LCM) of 56649 and 56666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56649 and 56666. First we will calculate the prime factors of 56649 and 56666.

Prime Factorization of 56649

Prime Factorization of 56666

Now multiplying the highest exponent prime factors to calculate the LCM of 56649 and 56666.

LCM(56649,56666) = 3¹ × 23¹ × 821¹ × 2¹ × 29¹ × 977¹
LCM(56649,56666) = 3210072234