What is the Least Common Multiple of 77142 and 77149?

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 77142 and 77149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77142 and 77149, than apply into the LCM equation.

GCF(77142,77149) = 1
LCM(77142,77149) = ( 77142 × 77149) / 1
LCM(77142,77149) = 5951428158 / 1
LCM(77142,77149) = 5951428158

Least Common Multiple (LCM) of 77142 and 77149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77142 and 77149. First we will calculate the prime factors of 77142 and 77149.

Prime Factorization of 77142

Prime Factorization of 77149

Now multiplying the highest exponent prime factors to calculate the LCM of 77142 and 77149.

LCM(77142,77149) = 2¹ × 3¹ × 13¹ × 23¹ × 43¹ × 179¹ × 431¹
LCM(77142,77149) = 5951428158