What is the Least Common Multiple of 79051 and 79058?

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 79051 and 79058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79051 and 79058, than apply into the LCM equation.

GCF(79051,79058) = 7
LCM(79051,79058) = ( 79051 × 79058) / 7
LCM(79051,79058) = 6249613958 / 7
LCM(79051,79058) = 892801994

Least Common Multiple (LCM) of 79051 and 79058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79051 and 79058. First we will calculate the prime factors of 79051 and 79058.

Prime Factorization of 79051

Prime Factorization of 79058

Now multiplying the highest exponent prime factors to calculate the LCM of 79051 and 79058.

LCM(79051,79058) = 7¹ × 23¹ × 491¹ × 2¹ × 5647¹
LCM(79051,79058) = 892801994