What is the Least Common Multiple of 97956 and 97960?

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 97956 and 97960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97956 and 97960, than apply into the LCM equation.

GCF(97956,97960) = 4
LCM(97956,97960) = ( 97956 × 97960) / 4
LCM(97956,97960) = 9595769760 / 4
LCM(97956,97960) = 2398942440

Least Common Multiple (LCM) of 97956 and 97960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97956 and 97960. First we will calculate the prime factors of 97956 and 97960.

Prime Factorization of 97956

Prime Factorization of 97960

Now multiplying the highest exponent prime factors to calculate the LCM of 97956 and 97960.

LCM(97956,97960) = 2³ × 3³ × 907¹ × 5¹ × 31¹ × 79¹
LCM(97956,97960) = 2398942440