What is the Least Common Multiple of 79100 and 79119?

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 79100 and 79119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79100 and 79119, than apply into the LCM equation.

GCF(79100,79119) = 1
LCM(79100,79119) = ( 79100 × 79119) / 1
LCM(79100,79119) = 6258312900 / 1
LCM(79100,79119) = 6258312900

Least Common Multiple (LCM) of 79100 and 79119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79100 and 79119. First we will calculate the prime factors of 79100 and 79119.

Prime Factorization of 79100

Prime Factorization of 79119

Now multiplying the highest exponent prime factors to calculate the LCM of 79100 and 79119.

LCM(79100,79119) = 2² × 5² × 7¹ × 113¹ × 3² × 59¹ × 149¹
LCM(79100,79119) = 6258312900