What is the Least Common Multiple of 7413 and 7422?

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 7413 and 7422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7413 and 7422, than apply into the LCM equation.

GCF(7413,7422) = 3
LCM(7413,7422) = ( 7413 × 7422) / 3
LCM(7413,7422) = 55019286 / 3
LCM(7413,7422) = 18339762

Least Common Multiple (LCM) of 7413 and 7422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7413 and 7422. First we will calculate the prime factors of 7413 and 7422.

Prime Factorization of 7413

Prime Factorization of 7422

Now multiplying the highest exponent prime factors to calculate the LCM of 7413 and 7422.

LCM(7413,7422) = 3¹ × 7¹ × 353¹ × 2¹ × 1237¹
LCM(7413,7422) = 18339762