What is the Least Common Multiple of 79122 and 79141?

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 79122 and 79141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79122 and 79141, than apply into the LCM equation.

GCF(79122,79141) = 1
LCM(79122,79141) = ( 79122 × 79141) / 1
LCM(79122,79141) = 6261794202 / 1
LCM(79122,79141) = 6261794202

Least Common Multiple (LCM) of 79122 and 79141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79122 and 79141. First we will calculate the prime factors of 79122 and 79141.

Prime Factorization of 79122

Prime Factorization of 79141

Now multiplying the highest exponent prime factors to calculate the LCM of 79122 and 79141.

LCM(79122,79141) = 2¹ × 3¹ × 13187¹ × 29¹ × 2729¹
LCM(79122,79141) = 6261794202