What is the Least Common Multiple of 79890 and 79907?

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 79890 and 79907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79890 and 79907, than apply into the LCM equation.

GCF(79890,79907) = 1
LCM(79890,79907) = ( 79890 × 79907) / 1
LCM(79890,79907) = 6383770230 / 1
LCM(79890,79907) = 6383770230

Least Common Multiple (LCM) of 79890 and 79907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79890 and 79907. First we will calculate the prime factors of 79890 and 79907.

Prime Factorization of 79890

Prime Factorization of 79907

Now multiplying the highest exponent prime factors to calculate the LCM of 79890 and 79907.

LCM(79890,79907) = 2¹ × 3¹ × 5¹ × 2663¹ × 79907¹
LCM(79890,79907) = 6383770230