What is the Least Common Multiple of 65953 and 65967?

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 65953 and 65967 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65953 and 65967, than apply into the LCM equation.

GCF(65953,65967) = 1
LCM(65953,65967) = ( 65953 × 65967) / 1
LCM(65953,65967) = 4350721551 / 1
LCM(65953,65967) = 4350721551

Least Common Multiple (LCM) of 65953 and 65967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65953 and 65967. First we will calculate the prime factors of 65953 and 65967.

Prime Factorization of 65953

Prime Factorization of 65967

Now multiplying the highest exponent prime factors to calculate the LCM of 65953 and 65967.

LCM(65953,65967) = 101¹ × 653¹ × 3¹ × 11¹ × 1999¹
LCM(65953,65967) = 4350721551