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What is the Least Common Multiple of 7379 and 7398?

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 7379 and 7398 is 54589842.

LCM(7379,7398) = 54589842

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Least Common Multiple of 7379 and 7398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7379 and 7398, than apply into the LCM equation.

GCF(7379,7398) = 1
LCM(7379,7398) = ( 7379 × 7398) / 1
LCM(7379,7398) = 54589842 / 1
LCM(7379,7398) = 54589842

Least Common Multiple (LCM) of 7379 and 7398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7379 and 7398. First we will calculate the prime factors of 7379 and 7398.

Prime Factorization of 7379

Prime factors of 7379 are 47, 157. Prime factorization of 7379 in exponential form is:

7379 = 471 × 1571

Prime Factorization of 7398

Prime factors of 7398 are 2, 3, 137. Prime factorization of 7398 in exponential form is:

7398 = 21 × 33 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 7379 and 7398.

LCM(7379,7398) = 471 × 1571 × 21 × 33 × 1371
LCM(7379,7398) = 54589842