What is the Least Common Multiple of 32960 and 32967?

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 32960 and 32967 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32960 and 32967, than apply into the LCM equation.

GCF(32960,32967) = 1
LCM(32960,32967) = ( 32960 × 32967) / 1
LCM(32960,32967) = 1086592320 / 1
LCM(32960,32967) = 1086592320

Least Common Multiple (LCM) of 32960 and 32967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32960 and 32967. First we will calculate the prime factors of 32960 and 32967.

Prime Factorization of 32960

Prime Factorization of 32967

Now multiplying the highest exponent prime factors to calculate the LCM of 32960 and 32967.

LCM(32960,32967) = 2⁶ × 5¹ × 103¹ × 3⁴ × 11¹ × 37¹
LCM(32960,32967) = 1086592320