What is the Least Common Multiple of 47070 and 47075?

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 47075 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 47075, than apply into the LCM equation.

GCF(47070,47075) = 5
LCM(47070,47075) = ( 47070 × 47075) / 5
LCM(47070,47075) = 2215820250 / 5
LCM(47070,47075) = 443164050

Least Common Multiple (LCM) of 47070 and 47075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47070 and 47075. First we will calculate the prime factors of 47070 and 47075.

Prime Factorization of 47070

Prime Factorization of 47075

Now multiplying the highest exponent prime factors to calculate the LCM of 47070 and 47075.

LCM(47070,47075) = 2¹ × 3² × 5² × 523¹ × 7¹ × 269¹
LCM(47070,47075) = 443164050