What is the Least Common Multiple of 68070 and 68090?

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 68070 and 68090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68070 and 68090, than apply into the LCM equation.

GCF(68070,68090) = 10
LCM(68070,68090) = ( 68070 × 68090) / 10
LCM(68070,68090) = 4634886300 / 10
LCM(68070,68090) = 463488630

Least Common Multiple (LCM) of 68070 and 68090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68070 and 68090. First we will calculate the prime factors of 68070 and 68090.

Prime Factorization of 68070

Prime Factorization of 68090

Now multiplying the highest exponent prime factors to calculate the LCM of 68070 and 68090.

LCM(68070,68090) = 2¹ × 3¹ × 5¹ × 2269¹ × 11¹ × 619¹
LCM(68070,68090) = 463488630