What is the Least Common Multiple of 21980 and 21992?

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 21980 and 21992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21980 and 21992, than apply into the LCM equation.

GCF(21980,21992) = 4
LCM(21980,21992) = ( 21980 × 21992) / 4
LCM(21980,21992) = 483384160 / 4
LCM(21980,21992) = 120846040

Least Common Multiple (LCM) of 21980 and 21992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21980 and 21992. First we will calculate the prime factors of 21980 and 21992.

Prime Factorization of 21980

Prime Factorization of 21992

Now multiplying the highest exponent prime factors to calculate the LCM of 21980 and 21992.

LCM(21980,21992) = 2³ × 5¹ × 7¹ × 157¹ × 2749¹
LCM(21980,21992) = 120846040