What is the Least Common Multiple of 36642 and 36647?

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 36642 and 36647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36642 and 36647, than apply into the LCM equation.

GCF(36642,36647) = 1
LCM(36642,36647) = ( 36642 × 36647) / 1
LCM(36642,36647) = 1342819374 / 1
LCM(36642,36647) = 1342819374

Least Common Multiple (LCM) of 36642 and 36647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36642 and 36647. First we will calculate the prime factors of 36642 and 36647.

Prime Factorization of 36642

Prime Factorization of 36647

Now multiplying the highest exponent prime factors to calculate the LCM of 36642 and 36647.

LCM(36642,36647) = 2¹ × 3¹ × 31¹ × 197¹ × 13¹ × 2819¹
LCM(36642,36647) = 1342819374