What is the Least Common Multiple of 87920 and 87935?

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 87920 and 87935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87920 and 87935, than apply into the LCM equation.

GCF(87920,87935) = 5
LCM(87920,87935) = ( 87920 × 87935) / 5
LCM(87920,87935) = 7731245200 / 5
LCM(87920,87935) = 1546249040

Least Common Multiple (LCM) of 87920 and 87935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87920 and 87935. First we will calculate the prime factors of 87920 and 87935.

Prime Factorization of 87920

Prime Factorization of 87935

Now multiplying the highest exponent prime factors to calculate the LCM of 87920 and 87935.

LCM(87920,87935) = 2⁴ × 5¹ × 7¹ × 157¹ × 43¹ × 409¹
LCM(87920,87935) = 1546249040