What is the Least Common Multiple of 47070 and 47085?

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 47070 and 47085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47070 and 47085, than apply into the LCM equation.

GCF(47070,47085) = 15
LCM(47070,47085) = ( 47070 × 47085) / 15
LCM(47070,47085) = 2216290950 / 15
LCM(47070,47085) = 147752730

Least Common Multiple (LCM) of 47070 and 47085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47070 and 47085. First we will calculate the prime factors of 47070 and 47085.

Prime Factorization of 47070

Prime Factorization of 47085

Now multiplying the highest exponent prime factors to calculate the LCM of 47070 and 47085.

LCM(47070,47085) = 2¹ × 3² × 5¹ × 523¹ × 43¹ × 73¹
LCM(47070,47085) = 147752730