What is the Least Common Multiple of 32953 and 32965?

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 32953 and 32965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32953 and 32965, than apply into the LCM equation.

GCF(32953,32965) = 1
LCM(32953,32965) = ( 32953 × 32965) / 1
LCM(32953,32965) = 1086295645 / 1
LCM(32953,32965) = 1086295645

Least Common Multiple (LCM) of 32953 and 32965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32953 and 32965. First we will calculate the prime factors of 32953 and 32965.

Prime Factorization of 32953

Prime Factorization of 32965

Now multiplying the highest exponent prime factors to calculate the LCM of 32953 and 32965.

LCM(32953,32965) = 31¹ × 1063¹ × 5¹ × 19¹ × 347¹
LCM(32953,32965) = 1086295645