What is the Least Common Multiple of 58520 and 58536?

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 58520 and 58536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58520 and 58536, than apply into the LCM equation.

GCF(58520,58536) = 8
LCM(58520,58536) = ( 58520 × 58536) / 8
LCM(58520,58536) = 3425526720 / 8
LCM(58520,58536) = 428190840

Least Common Multiple (LCM) of 58520 and 58536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58520 and 58536. First we will calculate the prime factors of 58520 and 58536.

Prime Factorization of 58520

Prime Factorization of 58536

Now multiplying the highest exponent prime factors to calculate the LCM of 58520 and 58536.

LCM(58520,58536) = 2³ × 5¹ × 7¹ × 11¹ × 19¹ × 3³ × 271¹
LCM(58520,58536) = 428190840