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What is the Least Common Multiple of 7468 and 7485?

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 7468 and 7485 is 55897980.

LCM(7468,7485) = 55897980

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Least Common Multiple of 7468 and 7485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7468 and 7485, than apply into the LCM equation.

GCF(7468,7485) = 1
LCM(7468,7485) = ( 7468 × 7485) / 1
LCM(7468,7485) = 55897980 / 1
LCM(7468,7485) = 55897980

Least Common Multiple (LCM) of 7468 and 7485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7468 and 7485. First we will calculate the prime factors of 7468 and 7485.

Prime Factorization of 7468

Prime factors of 7468 are 2, 1867. Prime factorization of 7468 in exponential form is:

7468 = 22 × 18671

Prime Factorization of 7485

Prime factors of 7485 are 3, 5, 499. Prime factorization of 7485 in exponential form is:

7485 = 31 × 51 × 4991

Now multiplying the highest exponent prime factors to calculate the LCM of 7468 and 7485.

LCM(7468,7485) = 22 × 18671 × 31 × 51 × 4991
LCM(7468,7485) = 55897980