What is the Least Common Multiple of 36638 and 36653?

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 36638 and 36653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36638 and 36653, than apply into the LCM equation.

GCF(36638,36653) = 1
LCM(36638,36653) = ( 36638 × 36653) / 1
LCM(36638,36653) = 1342892614 / 1
LCM(36638,36653) = 1342892614

Least Common Multiple (LCM) of 36638 and 36653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36638 and 36653. First we will calculate the prime factors of 36638 and 36653.

Prime Factorization of 36638

Prime Factorization of 36653

Now multiplying the highest exponent prime factors to calculate the LCM of 36638 and 36653.

LCM(36638,36653) = 2¹ × 7¹ × 2617¹ × 36653¹
LCM(36638,36653) = 1342892614