What is the Least Common Multiple of 97360 and 97377?

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 97360 and 97377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97360 and 97377, than apply into the LCM equation.

GCF(97360,97377) = 1
LCM(97360,97377) = ( 97360 × 97377) / 1
LCM(97360,97377) = 9480624720 / 1
LCM(97360,97377) = 9480624720

Least Common Multiple (LCM) of 97360 and 97377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97360 and 97377. First we will calculate the prime factors of 97360 and 97377.

Prime Factorization of 97360

Prime Factorization of 97377

Now multiplying the highest exponent prime factors to calculate the LCM of 97360 and 97377.

LCM(97360,97377) = 2⁴ × 5¹ × 1217¹ × 3¹ × 7¹ × 4637¹
LCM(97360,97377) = 9480624720