What is the Least Common Multiple of 96930 and 96945?

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 96930 and 96945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96930 and 96945, than apply into the LCM equation.

GCF(96930,96945) = 15
LCM(96930,96945) = ( 96930 × 96945) / 15
LCM(96930,96945) = 9396878850 / 15
LCM(96930,96945) = 626458590

Least Common Multiple (LCM) of 96930 and 96945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96930 and 96945. First we will calculate the prime factors of 96930 and 96945.

Prime Factorization of 96930

Prime Factorization of 96945

Now multiplying the highest exponent prime factors to calculate the LCM of 96930 and 96945.

LCM(96930,96945) = 2¹ × 3³ × 5¹ × 359¹ × 23¹ × 281¹
LCM(96930,96945) = 626458590