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What is the Least Common Multiple of 65374 and 65378?

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 65374 and 65378 is 2137010686.

LCM(65374,65378) = 2137010686

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Least Common Multiple of 65374 and 65378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65374 and 65378, than apply into the LCM equation.

GCF(65374,65378) = 2
LCM(65374,65378) = ( 65374 × 65378) / 2
LCM(65374,65378) = 4274021372 / 2
LCM(65374,65378) = 2137010686

Least Common Multiple (LCM) of 65374 and 65378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65374 and 65378. First we will calculate the prime factors of 65374 and 65378.

Prime Factorization of 65374

Prime factors of 65374 are 2, 32687. Prime factorization of 65374 in exponential form is:

65374 = 21 × 326871

Prime Factorization of 65378

Prime factors of 65378 are 2, 97, 337. Prime factorization of 65378 in exponential form is:

65378 = 21 × 971 × 3371

Now multiplying the highest exponent prime factors to calculate the LCM of 65374 and 65378.

LCM(65374,65378) = 21 × 326871 × 971 × 3371
LCM(65374,65378) = 2137010686