What is the Least Common Multiple of 80120 and 80135?

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 80120 and 80135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80120 and 80135, than apply into the LCM equation.

GCF(80120,80135) = 5
LCM(80120,80135) = ( 80120 × 80135) / 5
LCM(80120,80135) = 6420416200 / 5
LCM(80120,80135) = 1284083240

Least Common Multiple (LCM) of 80120 and 80135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80120 and 80135. First we will calculate the prime factors of 80120 and 80135.

Prime Factorization of 80120

Prime Factorization of 80135

Now multiplying the highest exponent prime factors to calculate the LCM of 80120 and 80135.

LCM(80120,80135) = 2³ × 5¹ × 2003¹ × 11¹ × 31¹ × 47¹
LCM(80120,80135) = 1284083240