What is the Least Common Multiple of 79340 and 79346?

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 79340 and 79346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79340 and 79346, than apply into the LCM equation.

GCF(79340,79346) = 2
LCM(79340,79346) = ( 79340 × 79346) / 2
LCM(79340,79346) = 6295311640 / 2
LCM(79340,79346) = 3147655820

Least Common Multiple (LCM) of 79340 and 79346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79340 and 79346. First we will calculate the prime factors of 79340 and 79346.

Prime Factorization of 79340

Prime Factorization of 79346

Now multiplying the highest exponent prime factors to calculate the LCM of 79340 and 79346.

LCM(79340,79346) = 2² × 5¹ × 3967¹ × 97¹ × 409¹
LCM(79340,79346) = 3147655820