What is the Least Common Multiple of 26980 and 26995?

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 26980 and 26995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26980 and 26995, than apply into the LCM equation.

GCF(26980,26995) = 5
LCM(26980,26995) = ( 26980 × 26995) / 5
LCM(26980,26995) = 728325100 / 5
LCM(26980,26995) = 145665020

Least Common Multiple (LCM) of 26980 and 26995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26980 and 26995. First we will calculate the prime factors of 26980 and 26995.

Prime Factorization of 26980

Prime Factorization of 26995

Now multiplying the highest exponent prime factors to calculate the LCM of 26980 and 26995.

LCM(26980,26995) = 2² × 5¹ × 19¹ × 71¹ × 5399¹
LCM(26980,26995) = 145665020