What is the Least Common Multiple of 36652 and 36672?

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 36652 and 36672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36652 and 36672, than apply into the LCM equation.

GCF(36652,36672) = 4
LCM(36652,36672) = ( 36652 × 36672) / 4
LCM(36652,36672) = 1344102144 / 4
LCM(36652,36672) = 336025536

Least Common Multiple (LCM) of 36652 and 36672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36652 and 36672. First we will calculate the prime factors of 36652 and 36672.

Prime Factorization of 36652

Prime Factorization of 36672

Now multiplying the highest exponent prime factors to calculate the LCM of 36652 and 36672.

LCM(36652,36672) = 2⁶ × 7² × 11¹ × 17¹ × 3¹ × 191¹
LCM(36652,36672) = 336025536