What is the Least Common Multiple of 59628 and 59643?

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 59628 and 59643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59628 and 59643, than apply into the LCM equation.

GCF(59628,59643) = 3
LCM(59628,59643) = ( 59628 × 59643) / 3
LCM(59628,59643) = 3556392804 / 3
LCM(59628,59643) = 1185464268

Least Common Multiple (LCM) of 59628 and 59643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59628 and 59643. First we will calculate the prime factors of 59628 and 59643.

Prime Factorization of 59628

Prime Factorization of 59643

Now multiplying the highest exponent prime factors to calculate the LCM of 59628 and 59643.

LCM(59628,59643) = 2² × 3³ × 4969¹ × 47²
LCM(59628,59643) = 1185464268