What is the Least Common Multiple of 97629 and 97643?

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 97629 and 97643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97629 and 97643, than apply into the LCM equation.

GCF(97629,97643) = 7
LCM(97629,97643) = ( 97629 × 97643) / 7
LCM(97629,97643) = 9532788447 / 7
LCM(97629,97643) = 1361826921

Least Common Multiple (LCM) of 97629 and 97643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97629 and 97643. First we will calculate the prime factors of 97629 and 97643.

Prime Factorization of 97629

Prime Factorization of 97643

Now multiplying the highest exponent prime factors to calculate the LCM of 97629 and 97643.

LCM(97629,97643) = 3¹ × 7¹ × 4649¹ × 13¹ × 29¹ × 37¹
LCM(97629,97643) = 1361826921