What is the Least Common Multiple of 1630 and 1641?

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 1630 and 1641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1630 and 1641, than apply into the LCM equation.

GCF(1630,1641) = 1
LCM(1630,1641) = ( 1630 × 1641) / 1
LCM(1630,1641) = 2674830 / 1
LCM(1630,1641) = 2674830

Least Common Multiple (LCM) of 1630 and 1641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1630 and 1641. First we will calculate the prime factors of 1630 and 1641.

Prime Factorization of 1630

Prime Factorization of 1641

Now multiplying the highest exponent prime factors to calculate the LCM of 1630 and 1641.

LCM(1630,1641) = 2¹ × 5¹ × 163¹ × 3¹ × 547¹
LCM(1630,1641) = 2674830