What is the Least Common Multiple of 35070 and 35085?

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 35070 and 35085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35070 and 35085, than apply into the LCM equation.

GCF(35070,35085) = 15
LCM(35070,35085) = ( 35070 × 35085) / 15
LCM(35070,35085) = 1230430950 / 15
LCM(35070,35085) = 82028730

Least Common Multiple (LCM) of 35070 and 35085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35070 and 35085. First we will calculate the prime factors of 35070 and 35085.

Prime Factorization of 35070

Prime Factorization of 35085

Now multiplying the highest exponent prime factors to calculate the LCM of 35070 and 35085.

LCM(35070,35085) = 2¹ × 3¹ × 5¹ × 7¹ × 167¹ × 2339¹
LCM(35070,35085) = 82028730