What is the Least Common Multiple of 79890 and 79901?

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 79901 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 79901, than apply into the LCM equation.

GCF(79890,79901) = 1
LCM(79890,79901) = ( 79890 × 79901) / 1
LCM(79890,79901) = 6383290890 / 1
LCM(79890,79901) = 6383290890

Least Common Multiple (LCM) of 79890 and 79901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79890 and 79901. First we will calculate the prime factors of 79890 and 79901.

Prime Factorization of 79890

Prime Factorization of 79901

Now multiplying the highest exponent prime factors to calculate the LCM of 79890 and 79901.

LCM(79890,79901) = 2¹ × 3¹ × 5¹ × 2663¹ × 79901¹
LCM(79890,79901) = 6383290890