What is the Least Common Multiple of 36749 and 36757?

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 36749 and 36757 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36749 and 36757, than apply into the LCM equation.

GCF(36749,36757) = 1
LCM(36749,36757) = ( 36749 × 36757) / 1
LCM(36749,36757) = 1350782993 / 1
LCM(36749,36757) = 1350782993

Least Common Multiple (LCM) of 36749 and 36757 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36749 and 36757. First we will calculate the prime factors of 36749 and 36757.

Prime Factorization of 36749

Prime Factorization of 36757

Now multiplying the highest exponent prime factors to calculate the LCM of 36749 and 36757.

LCM(36749,36757) = 36749¹ × 7¹ × 59¹ × 89¹
LCM(36749,36757) = 1350782993