What is the Least Common Multiple of 70030 and 70045?

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 70030 and 70045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70030 and 70045, than apply into the LCM equation.

GCF(70030,70045) = 5
LCM(70030,70045) = ( 70030 × 70045) / 5
LCM(70030,70045) = 4905251350 / 5
LCM(70030,70045) = 981050270

Least Common Multiple (LCM) of 70030 and 70045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70030 and 70045. First we will calculate the prime factors of 70030 and 70045.

Prime Factorization of 70030

Prime Factorization of 70045

Now multiplying the highest exponent prime factors to calculate the LCM of 70030 and 70045.

LCM(70030,70045) = 2¹ × 5¹ × 47¹ × 149¹ × 14009¹
LCM(70030,70045) = 981050270