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What is the Least Common Multiple of 43365 and 43374?

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 (LCM) of 43365 and 43374 is 626971170.

LCM(43365,43374) = 626971170

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Least Common Multiple of 43365 and 43374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43365 and 43374, than apply into the LCM equation.

GCF(43365,43374) = 3
LCM(43365,43374) = ( 43365 × 43374) / 3
LCM(43365,43374) = 1880913510 / 3
LCM(43365,43374) = 626971170

Least Common Multiple (LCM) of 43365 and 43374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43365 and 43374. First we will calculate the prime factors of 43365 and 43374.

Prime Factorization of 43365

Prime factors of 43365 are 3, 5, 7, 59. Prime factorization of 43365 in exponential form is:

43365 = 31 × 51 × 72 × 591

Prime Factorization of 43374

Prime factors of 43374 are 2, 3, 7229. Prime factorization of 43374 in exponential form is:

43374 = 21 × 31 × 72291

Now multiplying the highest exponent prime factors to calculate the LCM of 43365 and 43374.

LCM(43365,43374) = 31 × 51 × 72 × 591 × 21 × 72291
LCM(43365,43374) = 626971170