What is the Least Common Multiple of 79214 and 79234?

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 79214 and 79234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79214 and 79234, than apply into the LCM equation.

GCF(79214,79234) = 2
LCM(79214,79234) = ( 79214 × 79234) / 2
LCM(79214,79234) = 6276442076 / 2
LCM(79214,79234) = 3138221038

Least Common Multiple (LCM) of 79214 and 79234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79214 and 79234. First we will calculate the prime factors of 79214 and 79234.

Prime Factorization of 79214

Prime Factorization of 79234

Now multiplying the highest exponent prime factors to calculate the LCM of 79214 and 79234.

LCM(79214,79234) = 2¹ × 39607¹ × 173¹ × 229¹
LCM(79214,79234) = 3138221038