What is the Least Common Multiple of 61748 and 61764?

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 61748 and 61764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61748 and 61764, than apply into the LCM equation.

GCF(61748,61764) = 4
LCM(61748,61764) = ( 61748 × 61764) / 4
LCM(61748,61764) = 3813803472 / 4
LCM(61748,61764) = 953450868

Least Common Multiple (LCM) of 61748 and 61764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61748 and 61764. First we will calculate the prime factors of 61748 and 61764.

Prime Factorization of 61748

Prime Factorization of 61764

Now multiplying the highest exponent prime factors to calculate the LCM of 61748 and 61764.

LCM(61748,61764) = 2² × 43¹ × 359¹ × 3¹ × 5147¹
LCM(61748,61764) = 953450868