What is the Least Common Multiple of 21480 and 21492?

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 21480 and 21492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21480 and 21492, than apply into the LCM equation.

GCF(21480,21492) = 12
LCM(21480,21492) = ( 21480 × 21492) / 12
LCM(21480,21492) = 461648160 / 12
LCM(21480,21492) = 38470680

Least Common Multiple (LCM) of 21480 and 21492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21480 and 21492. First we will calculate the prime factors of 21480 and 21492.

Prime Factorization of 21480

Prime Factorization of 21492

Now multiplying the highest exponent prime factors to calculate the LCM of 21480 and 21492.

LCM(21480,21492) = 2³ × 3³ × 5¹ × 179¹ × 199¹
LCM(21480,21492) = 38470680