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What is the Least Common Multiple of 6235 and 6252?

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 6235 and 6252 is 38981220.

LCM(6235,6252) = 38981220

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Least Common Multiple of 6235 and 6252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6235 and 6252, than apply into the LCM equation.

GCF(6235,6252) = 1
LCM(6235,6252) = ( 6235 × 6252) / 1
LCM(6235,6252) = 38981220 / 1
LCM(6235,6252) = 38981220

Least Common Multiple (LCM) of 6235 and 6252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6235 and 6252. First we will calculate the prime factors of 6235 and 6252.

Prime Factorization of 6235

Prime factors of 6235 are 5, 29, 43. Prime factorization of 6235 in exponential form is:

6235 = 51 × 291 × 431

Prime Factorization of 6252

Prime factors of 6252 are 2, 3, 521. Prime factorization of 6252 in exponential form is:

6252 = 22 × 31 × 5211

Now multiplying the highest exponent prime factors to calculate the LCM of 6235 and 6252.

LCM(6235,6252) = 51 × 291 × 431 × 22 × 31 × 5211
LCM(6235,6252) = 38981220