What is the Least Common Multiple of 53140 and 53152?

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 53140 and 53152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53140 and 53152, than apply into the LCM equation.

GCF(53140,53152) = 4
LCM(53140,53152) = ( 53140 × 53152) / 4
LCM(53140,53152) = 2824497280 / 4
LCM(53140,53152) = 706124320

Least Common Multiple (LCM) of 53140 and 53152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53140 and 53152. First we will calculate the prime factors of 53140 and 53152.

Prime Factorization of 53140

Prime Factorization of 53152

Now multiplying the highest exponent prime factors to calculate the LCM of 53140 and 53152.

LCM(53140,53152) = 2⁵ × 5¹ × 2657¹ × 11¹ × 151¹
LCM(53140,53152) = 706124320