What is the Least Common Multiple of 70066 and 70085?

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 70066 and 70085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70066 and 70085, than apply into the LCM equation.

GCF(70066,70085) = 1
LCM(70066,70085) = ( 70066 × 70085) / 1
LCM(70066,70085) = 4910575610 / 1
LCM(70066,70085) = 4910575610

Least Common Multiple (LCM) of 70066 and 70085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70066 and 70085. First we will calculate the prime factors of 70066 and 70085.

Prime Factorization of 70066

Prime Factorization of 70085

Now multiplying the highest exponent prime factors to calculate the LCM of 70066 and 70085.

LCM(70066,70085) = 2¹ × 53¹ × 661¹ × 5¹ × 107¹ × 131¹
LCM(70066,70085) = 4910575610