What is the Least Common Multiple of 92520 and 92536?

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 92520 and 92536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92520 and 92536, than apply into the LCM equation.

GCF(92520,92536) = 8
LCM(92520,92536) = ( 92520 × 92536) / 8
LCM(92520,92536) = 8561430720 / 8
LCM(92520,92536) = 1070178840

Least Common Multiple (LCM) of 92520 and 92536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92520 and 92536. First we will calculate the prime factors of 92520 and 92536.

Prime Factorization of 92520

Prime Factorization of 92536

Now multiplying the highest exponent prime factors to calculate the LCM of 92520 and 92536.

LCM(92520,92536) = 2³ × 3² × 5¹ × 257¹ × 43¹ × 269¹
LCM(92520,92536) = 1070178840