What is the Least Common Multiple of 26980 and 26998?

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 26998 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 26998, than apply into the LCM equation.

GCF(26980,26998) = 2
LCM(26980,26998) = ( 26980 × 26998) / 2
LCM(26980,26998) = 728406040 / 2
LCM(26980,26998) = 364203020

Least Common Multiple (LCM) of 26980 and 26998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26980 and 26998. First we will calculate the prime factors of 26980 and 26998.

Prime Factorization of 26980

Prime Factorization of 26998

Now multiplying the highest exponent prime factors to calculate the LCM of 26980 and 26998.

LCM(26980,26998) = 2² × 5¹ × 19¹ × 71¹ × 13499¹
LCM(26980,26998) = 364203020