What is the Least Common Multiple of 68628 and 68647?

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 68628 and 68647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68628 and 68647, than apply into the LCM equation.

GCF(68628,68647) = 19
LCM(68628,68647) = ( 68628 × 68647) / 19
LCM(68628,68647) = 4711106316 / 19
LCM(68628,68647) = 247952964

Least Common Multiple (LCM) of 68628 and 68647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68628 and 68647. First we will calculate the prime factors of 68628 and 68647.

Prime Factorization of 68628

Prime Factorization of 68647

Now multiplying the highest exponent prime factors to calculate the LCM of 68628 and 68647.

LCM(68628,68647) = 2² × 3¹ × 7¹ × 19¹ × 43¹ × 3613¹
LCM(68628,68647) = 247952964