GCF and LCM Calculator Logo

What is the Least Common Multiple of 68371 and 68376?

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 68371 and 68376 is 4674935496.

LCM(68371,68376) = 4674935496

LCM Calculator and
and

Least Common Multiple of 68371 and 68376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68371 and 68376, than apply into the LCM equation.

GCF(68371,68376) = 1
LCM(68371,68376) = ( 68371 × 68376) / 1
LCM(68371,68376) = 4674935496 / 1
LCM(68371,68376) = 4674935496

Least Common Multiple (LCM) of 68371 and 68376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68371 and 68376. First we will calculate the prime factors of 68371 and 68376.

Prime Factorization of 68371

Prime factors of 68371 are 68371. Prime factorization of 68371 in exponential form is:

68371 = 683711

Prime Factorization of 68376

Prime factors of 68376 are 2, 3, 7, 11, 37. Prime factorization of 68376 in exponential form is:

68376 = 23 × 31 × 71 × 111 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 68371 and 68376.

LCM(68371,68376) = 683711 × 23 × 31 × 71 × 111 × 371
LCM(68371,68376) = 4674935496