What is the Least Common Multiple of 97405 and 97410?

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 97405 and 97410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97405 and 97410, than apply into the LCM equation.

GCF(97405,97410) = 5
LCM(97405,97410) = ( 97405 × 97410) / 5
LCM(97405,97410) = 9488221050 / 5
LCM(97405,97410) = 1897644210

Least Common Multiple (LCM) of 97405 and 97410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97405 and 97410. First we will calculate the prime factors of 97405 and 97410.

Prime Factorization of 97405

Prime Factorization of 97410

Now multiplying the highest exponent prime factors to calculate the LCM of 97405 and 97410.

LCM(97405,97410) = 5¹ × 7¹ × 11² × 23¹ × 2¹ × 3¹ × 17¹ × 191¹
LCM(97405,97410) = 1897644210