What is the Least Common Multiple of 21354 and 21370?

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 21354 and 21370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21354 and 21370, than apply into the LCM equation.

GCF(21354,21370) = 2
LCM(21354,21370) = ( 21354 × 21370) / 2
LCM(21354,21370) = 456334980 / 2
LCM(21354,21370) = 228167490

Least Common Multiple (LCM) of 21354 and 21370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21354 and 21370. First we will calculate the prime factors of 21354 and 21370.

Prime Factorization of 21354

Prime Factorization of 21370

Now multiplying the highest exponent prime factors to calculate the LCM of 21354 and 21370.

LCM(21354,21370) = 2¹ × 3¹ × 3559¹ × 5¹ × 2137¹
LCM(21354,21370) = 228167490