What is the Least Common Multiple of 77430 and 77442?

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 77430 and 77442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77430 and 77442, than apply into the LCM equation.

GCF(77430,77442) = 6
LCM(77430,77442) = ( 77430 × 77442) / 6
LCM(77430,77442) = 5996334060 / 6
LCM(77430,77442) = 999389010

Least Common Multiple (LCM) of 77430 and 77442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77430 and 77442. First we will calculate the prime factors of 77430 and 77442.

Prime Factorization of 77430

Prime Factorization of 77442

Now multiplying the highest exponent prime factors to calculate the LCM of 77430 and 77442.

LCM(77430,77442) = 2¹ × 3¹ × 5¹ × 29¹ × 89¹ × 12907¹
LCM(77430,77442) = 999389010