What is the Least Common Multiple of 26965 and 26980?

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 26965 and 26980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26965 and 26980, than apply into the LCM equation.

GCF(26965,26980) = 5
LCM(26965,26980) = ( 26965 × 26980) / 5
LCM(26965,26980) = 727515700 / 5
LCM(26965,26980) = 145503140

Least Common Multiple (LCM) of 26965 and 26980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26965 and 26980. First we will calculate the prime factors of 26965 and 26980.

Prime Factorization of 26965

Prime Factorization of 26980

Now multiplying the highest exponent prime factors to calculate the LCM of 26965 and 26980.

LCM(26965,26980) = 5¹ × 5393¹ × 2² × 19¹ × 71¹
LCM(26965,26980) = 145503140