What is the Least Common Multiple of 85085 and 85092?

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 85085 and 85092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85085 and 85092, than apply into the LCM equation.

GCF(85085,85092) = 7
LCM(85085,85092) = ( 85085 × 85092) / 7
LCM(85085,85092) = 7240052820 / 7
LCM(85085,85092) = 1034293260

Least Common Multiple (LCM) of 85085 and 85092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85085 and 85092. First we will calculate the prime factors of 85085 and 85092.

Prime Factorization of 85085

Prime Factorization of 85092

Now multiplying the highest exponent prime factors to calculate the LCM of 85085 and 85092.

LCM(85085,85092) = 5¹ × 7¹ × 11¹ × 13¹ × 17¹ × 2² × 3¹ × 1013¹
LCM(85085,85092) = 1034293260