What is the Least Common Multiple of 93520 and 93540?

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 93520 and 93540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93520 and 93540, than apply into the LCM equation.

GCF(93520,93540) = 20
LCM(93520,93540) = ( 93520 × 93540) / 20
LCM(93520,93540) = 8747860800 / 20
LCM(93520,93540) = 437393040

Least Common Multiple (LCM) of 93520 and 93540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93520 and 93540. First we will calculate the prime factors of 93520 and 93540.

Prime Factorization of 93520

Prime Factorization of 93540

Now multiplying the highest exponent prime factors to calculate the LCM of 93520 and 93540.

LCM(93520,93540) = 2⁴ × 5¹ × 7¹ × 167¹ × 3¹ × 1559¹
LCM(93520,93540) = 437393040