What is the Least Common Multiple of 36754 and 36772?

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 36754 and 36772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36754 and 36772, than apply into the LCM equation.

GCF(36754,36772) = 2
LCM(36754,36772) = ( 36754 × 36772) / 2
LCM(36754,36772) = 1351518088 / 2
LCM(36754,36772) = 675759044

Least Common Multiple (LCM) of 36754 and 36772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36754 and 36772. First we will calculate the prime factors of 36754 and 36772.

Prime Factorization of 36754

Prime Factorization of 36772

Now multiplying the highest exponent prime factors to calculate the LCM of 36754 and 36772.

LCM(36754,36772) = 2² × 17¹ × 23¹ × 47¹ × 29¹ × 317¹
LCM(36754,36772) = 675759044