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What is the Least Common Multiple of 67124 and 67129?

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 67124 and 67129 is 4505966996.

LCM(67124,67129) = 4505966996

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Least Common Multiple of 67124 and 67129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67124 and 67129, than apply into the LCM equation.

GCF(67124,67129) = 1
LCM(67124,67129) = ( 67124 × 67129) / 1
LCM(67124,67129) = 4505966996 / 1
LCM(67124,67129) = 4505966996

Least Common Multiple (LCM) of 67124 and 67129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67124 and 67129. First we will calculate the prime factors of 67124 and 67129.

Prime Factorization of 67124

Prime factors of 67124 are 2, 97, 173. Prime factorization of 67124 in exponential form is:

67124 = 22 × 971 × 1731

Prime Factorization of 67129

Prime factors of 67129 are 67129. Prime factorization of 67129 in exponential form is:

67129 = 671291

Now multiplying the highest exponent prime factors to calculate the LCM of 67124 and 67129.

LCM(67124,67129) = 22 × 971 × 1731 × 671291
LCM(67124,67129) = 4505966996