What is the Least Common Multiple of 70205 and 70225?

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 70205 and 70225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70205 and 70225, than apply into the LCM equation.

GCF(70205,70225) = 5
LCM(70205,70225) = ( 70205 × 70225) / 5
LCM(70205,70225) = 4930146125 / 5
LCM(70205,70225) = 986029225

Least Common Multiple (LCM) of 70205 and 70225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70205 and 70225. First we will calculate the prime factors of 70205 and 70225.

Prime Factorization of 70205

Prime Factorization of 70225

Now multiplying the highest exponent prime factors to calculate the LCM of 70205 and 70225.

LCM(70205,70225) = 5² × 19¹ × 739¹ × 53²
LCM(70205,70225) = 986029225