What is the Least Common Multiple of 99415 and 99435?

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 99415 and 99435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99415 and 99435, than apply into the LCM equation.

GCF(99415,99435) = 5
LCM(99415,99435) = ( 99415 × 99435) / 5
LCM(99415,99435) = 9885330525 / 5
LCM(99415,99435) = 1977066105

Least Common Multiple (LCM) of 99415 and 99435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99415 and 99435. First we will calculate the prime factors of 99415 and 99435.

Prime Factorization of 99415

Prime Factorization of 99435

Now multiplying the highest exponent prime factors to calculate the LCM of 99415 and 99435.

LCM(99415,99435) = 5¹ × 59¹ × 337¹ × 3¹ × 7¹ × 947¹
LCM(99415,99435) = 1977066105