What is the Least Common Multiple of 52628 and 52640?

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 52628 and 52640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52628 and 52640, than apply into the LCM equation.

GCF(52628,52640) = 4
LCM(52628,52640) = ( 52628 × 52640) / 4
LCM(52628,52640) = 2770337920 / 4
LCM(52628,52640) = 692584480

Least Common Multiple (LCM) of 52628 and 52640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52628 and 52640. First we will calculate the prime factors of 52628 and 52640.

Prime Factorization of 52628

Prime Factorization of 52640

Now multiplying the highest exponent prime factors to calculate the LCM of 52628 and 52640.

LCM(52628,52640) = 2⁵ × 59¹ × 223¹ × 5¹ × 7¹ × 47¹
LCM(52628,52640) = 692584480