What is the Least Common Multiple of 85092 and 85096?

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 85092 and 85096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85092 and 85096, than apply into the LCM equation.

GCF(85092,85096) = 4
LCM(85092,85096) = ( 85092 × 85096) / 4
LCM(85092,85096) = 7240988832 / 4
LCM(85092,85096) = 1810247208

Least Common Multiple (LCM) of 85092 and 85096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85092 and 85096. First we will calculate the prime factors of 85092 and 85096.

Prime Factorization of 85092

Prime Factorization of 85096

Now multiplying the highest exponent prime factors to calculate the LCM of 85092 and 85096.

LCM(85092,85096) = 2³ × 3¹ × 7¹ × 1013¹ × 11¹ × 967¹
LCM(85092,85096) = 1810247208