What is the Least Common Multiple of 97645 and 97660?

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 97645 and 97660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97645 and 97660, than apply into the LCM equation.

GCF(97645,97660) = 5
LCM(97645,97660) = ( 97645 × 97660) / 5
LCM(97645,97660) = 9536010700 / 5
LCM(97645,97660) = 1907202140

Least Common Multiple (LCM) of 97645 and 97660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97645 and 97660. First we will calculate the prime factors of 97645 and 97660.

Prime Factorization of 97645

Prime Factorization of 97660

Now multiplying the highest exponent prime factors to calculate the LCM of 97645 and 97660.

LCM(97645,97660) = 5¹ × 59¹ × 331¹ × 2² × 19¹ × 257¹
LCM(97645,97660) = 1907202140