What is the Least Common Multiple of 53520 and 53533?

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 53533 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 53533, than apply into the LCM equation.

GCF(53520,53533) = 1
LCM(53520,53533) = ( 53520 × 53533) / 1
LCM(53520,53533) = 2865086160 / 1
LCM(53520,53533) = 2865086160

Least Common Multiple (LCM) of 53520 and 53533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53520 and 53533. First we will calculate the prime factors of 53520 and 53533.

Prime Factorization of 53520

Prime Factorization of 53533

Now multiplying the highest exponent prime factors to calculate the LCM of 53520 and 53533.

LCM(53520,53533) = 2⁴ × 3¹ × 5¹ × 223¹ × 17¹ × 47¹ × 67¹
LCM(53520,53533) = 2865086160