What is the Least Common Multiple of 53520 and 53535?

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 53535 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 53535, than apply into the LCM equation.

GCF(53520,53535) = 15
LCM(53520,53535) = ( 53520 × 53535) / 15
LCM(53520,53535) = 2865193200 / 15
LCM(53520,53535) = 191012880

Least Common Multiple (LCM) of 53520 and 53535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53520 and 53535. First we will calculate the prime factors of 53520 and 53535.

Prime Factorization of 53520

Prime Factorization of 53535

Now multiplying the highest exponent prime factors to calculate the LCM of 53520 and 53535.

LCM(53520,53535) = 2⁴ × 3¹ × 5¹ × 223¹ × 43¹ × 83¹
LCM(53520,53535) = 191012880