What is the Least Common Multiple of 21948 and 21968?

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 21948 and 21968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21948 and 21968, than apply into the LCM equation.

GCF(21948,21968) = 4
LCM(21948,21968) = ( 21948 × 21968) / 4
LCM(21948,21968) = 482153664 / 4
LCM(21948,21968) = 120538416

Least Common Multiple (LCM) of 21948 and 21968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21948 and 21968. First we will calculate the prime factors of 21948 and 21968.

Prime Factorization of 21948

Prime Factorization of 21968

Now multiplying the highest exponent prime factors to calculate the LCM of 21948 and 21968.

LCM(21948,21968) = 2⁴ × 3¹ × 31¹ × 59¹ × 1373¹
LCM(21948,21968) = 120538416