What is the Least Common Multiple of 57603 and 57621?

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 57603 and 57621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57603 and 57621, than apply into the LCM equation.

GCF(57603,57621) = 3
LCM(57603,57621) = ( 57603 × 57621) / 3
LCM(57603,57621) = 3319142463 / 3
LCM(57603,57621) = 1106380821

Least Common Multiple (LCM) of 57603 and 57621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57603 and 57621. First we will calculate the prime factors of 57603 and 57621.

Prime Factorization of 57603

Prime Factorization of 57621

Now multiplying the highest exponent prime factors to calculate the LCM of 57603 and 57621.

LCM(57603,57621) = 3¹ × 7¹ × 13¹ × 211¹ × 19207¹
LCM(57603,57621) = 1106380821