What is the Least Common Multiple of 62960 and 62966?

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 62960 and 62966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62960 and 62966, than apply into the LCM equation.

GCF(62960,62966) = 2
LCM(62960,62966) = ( 62960 × 62966) / 2
LCM(62960,62966) = 3964339360 / 2
LCM(62960,62966) = 1982169680

Least Common Multiple (LCM) of 62960 and 62966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62960 and 62966. First we will calculate the prime factors of 62960 and 62966.

Prime Factorization of 62960

Prime Factorization of 62966

Now multiplying the highest exponent prime factors to calculate the LCM of 62960 and 62966.

LCM(62960,62966) = 2⁴ × 5¹ × 787¹ × 19¹ × 1657¹
LCM(62960,62966) = 1982169680