What is the Least Common Multiple of 53520 and 53536?

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 53520 and 53536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53520 and 53536, than apply into the LCM equation.

GCF(53520,53536) = 16
LCM(53520,53536) = ( 53520 × 53536) / 16
LCM(53520,53536) = 2865246720 / 16
LCM(53520,53536) = 179077920

Least Common Multiple (LCM) of 53520 and 53536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53520 and 53536. First we will calculate the prime factors of 53520 and 53536.

Prime Factorization of 53520

Prime Factorization of 53536

Now multiplying the highest exponent prime factors to calculate the LCM of 53520 and 53536.

LCM(53520,53536) = 2⁵ × 3¹ × 5¹ × 223¹ × 7¹ × 239¹
LCM(53520,53536) = 179077920