What is the Least Common Multiple of 97205 and 97215?

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 97205 and 97215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97205 and 97215, than apply into the LCM equation.

GCF(97205,97215) = 5
LCM(97205,97215) = ( 97205 × 97215) / 5
LCM(97205,97215) = 9449784075 / 5
LCM(97205,97215) = 1889956815

Least Common Multiple (LCM) of 97205 and 97215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97205 and 97215. First we will calculate the prime factors of 97205 and 97215.

Prime Factorization of 97205

Prime Factorization of 97215

Now multiplying the highest exponent prime factors to calculate the LCM of 97205 and 97215.

LCM(97205,97215) = 5¹ × 19441¹ × 3¹ × 6481¹
LCM(97205,97215) = 1889956815