What is the Least Common Multiple of 70065 and 70080?

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 70065 and 70080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70065 and 70080, than apply into the LCM equation.

GCF(70065,70080) = 15
LCM(70065,70080) = ( 70065 × 70080) / 15
LCM(70065,70080) = 4910155200 / 15
LCM(70065,70080) = 327343680

Least Common Multiple (LCM) of 70065 and 70080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70065 and 70080. First we will calculate the prime factors of 70065 and 70080.

Prime Factorization of 70065

Prime Factorization of 70080

Now multiplying the highest exponent prime factors to calculate the LCM of 70065 and 70080.

LCM(70065,70080) = 3⁴ × 5¹ × 173¹ × 2⁶ × 73¹
LCM(70065,70080) = 327343680