What is the Least Common Multiple of 1947 and 1952?

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 1947 and 1952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1947 and 1952, than apply into the LCM equation.

GCF(1947,1952) = 1
LCM(1947,1952) = ( 1947 × 1952) / 1
LCM(1947,1952) = 3800544 / 1
LCM(1947,1952) = 3800544

Least Common Multiple (LCM) of 1947 and 1952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1947 and 1952. First we will calculate the prime factors of 1947 and 1952.

Prime Factorization of 1947

Prime Factorization of 1952

Now multiplying the highest exponent prime factors to calculate the LCM of 1947 and 1952.

LCM(1947,1952) = 3¹ × 11¹ × 59¹ × 2⁵ × 61¹
LCM(1947,1952) = 3800544