What is the Least Common Multiple of 68730 and 68736?

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 68730 and 68736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68730 and 68736, than apply into the LCM equation.

GCF(68730,68736) = 6
LCM(68730,68736) = ( 68730 × 68736) / 6
LCM(68730,68736) = 4724225280 / 6
LCM(68730,68736) = 787370880

Least Common Multiple (LCM) of 68730 and 68736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68730 and 68736. First we will calculate the prime factors of 68730 and 68736.

Prime Factorization of 68730

Prime Factorization of 68736

Now multiplying the highest exponent prime factors to calculate the LCM of 68730 and 68736.

LCM(68730,68736) = 2⁷ × 3¹ × 5¹ × 29¹ × 79¹ × 179¹
LCM(68730,68736) = 787370880