What is the Least Common Multiple of 7422 and 7442?

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 7422 and 7442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7422 and 7442, than apply into the LCM equation.

GCF(7422,7442) = 2
LCM(7422,7442) = ( 7422 × 7442) / 2
LCM(7422,7442) = 55234524 / 2
LCM(7422,7442) = 27617262

Least Common Multiple (LCM) of 7422 and 7442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7422 and 7442. First we will calculate the prime factors of 7422 and 7442.

Prime Factorization of 7422

Prime Factorization of 7442

Now multiplying the highest exponent prime factors to calculate the LCM of 7422 and 7442.

LCM(7422,7442) = 2¹ × 3¹ × 1237¹ × 61²
LCM(7422,7442) = 27617262