What is the Least Common Multiple of 97380 and 97396?

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 97380 and 97396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97380 and 97396, than apply into the LCM equation.

GCF(97380,97396) = 4
LCM(97380,97396) = ( 97380 × 97396) / 4
LCM(97380,97396) = 9484422480 / 4
LCM(97380,97396) = 2371105620

Least Common Multiple (LCM) of 97380 and 97396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97380 and 97396. First we will calculate the prime factors of 97380 and 97396.

Prime Factorization of 97380

Prime Factorization of 97396

Now multiplying the highest exponent prime factors to calculate the LCM of 97380 and 97396.

LCM(97380,97396) = 2² × 3² × 5¹ × 541¹ × 13¹ × 1873¹
LCM(97380,97396) = 2371105620