What is the Least Common Multiple of 75648 and 75666?

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 75648 and 75666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75648 and 75666, than apply into the LCM equation.

GCF(75648,75666) = 6
LCM(75648,75666) = ( 75648 × 75666) / 6
LCM(75648,75666) = 5723981568 / 6
LCM(75648,75666) = 953996928

Least Common Multiple (LCM) of 75648 and 75666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75648 and 75666. First we will calculate the prime factors of 75648 and 75666.

Prime Factorization of 75648

Prime Factorization of 75666

Now multiplying the highest exponent prime factors to calculate the LCM of 75648 and 75666.

LCM(75648,75666) = 2⁷ × 3¹ × 197¹ × 12611¹
LCM(75648,75666) = 953996928