What is the Least Common Multiple of 85136 and 85147?

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 85136 and 85147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85136 and 85147, than apply into the LCM equation.

GCF(85136,85147) = 1
LCM(85136,85147) = ( 85136 × 85147) / 1
LCM(85136,85147) = 7249074992 / 1
LCM(85136,85147) = 7249074992

Least Common Multiple (LCM) of 85136 and 85147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85136 and 85147. First we will calculate the prime factors of 85136 and 85147.

Prime Factorization of 85136

Prime Factorization of 85147

Now multiplying the highest exponent prime factors to calculate the LCM of 85136 and 85147.

LCM(85136,85147) = 2⁴ × 17¹ × 313¹ × 85147¹
LCM(85136,85147) = 7249074992