What is the Least Common Multiple of 36759 and 36763?

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 36759 and 36763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36759 and 36763, than apply into the LCM equation.

GCF(36759,36763) = 1
LCM(36759,36763) = ( 36759 × 36763) / 1
LCM(36759,36763) = 1351371117 / 1
LCM(36759,36763) = 1351371117

Least Common Multiple (LCM) of 36759 and 36763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36759 and 36763. First we will calculate the prime factors of 36759 and 36763.

Prime Factorization of 36759

Prime Factorization of 36763

Now multiplying the highest exponent prime factors to calculate the LCM of 36759 and 36763.

LCM(36759,36763) = 3¹ × 12253¹ × 97¹ × 379¹
LCM(36759,36763) = 1351371117