What is the Least Common Multiple of 1620 and 1632?

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 1620 and 1632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1620 and 1632, than apply into the LCM equation.

GCF(1620,1632) = 12
LCM(1620,1632) = ( 1620 × 1632) / 12
LCM(1620,1632) = 2643840 / 12
LCM(1620,1632) = 220320

Least Common Multiple (LCM) of 1620 and 1632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1620 and 1632. First we will calculate the prime factors of 1620 and 1632.

Prime Factorization of 1620

Prime Factorization of 1632

Now multiplying the highest exponent prime factors to calculate the LCM of 1620 and 1632.

LCM(1620,1632) = 2⁵ × 3⁴ × 5¹ × 17¹
LCM(1620,1632) = 220320