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What is the Least Common Multiple of 80122 and 80137?

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 80122 and 80137 is 6420736714.

LCM(80122,80137) = 6420736714

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Least Common Multiple of 80122 and 80137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80122 and 80137, than apply into the LCM equation.

GCF(80122,80137) = 1
LCM(80122,80137) = ( 80122 × 80137) / 1
LCM(80122,80137) = 6420736714 / 1
LCM(80122,80137) = 6420736714

Least Common Multiple (LCM) of 80122 and 80137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80122 and 80137. First we will calculate the prime factors of 80122 and 80137.

Prime Factorization of 80122

Prime factors of 80122 are 2, 7, 59, 97. Prime factorization of 80122 in exponential form is:

80122 = 21 × 71 × 591 × 971

Prime Factorization of 80137

Prime factors of 80137 are 127, 631. Prime factorization of 80137 in exponential form is:

80137 = 1271 × 6311

Now multiplying the highest exponent prime factors to calculate the LCM of 80122 and 80137.

LCM(80122,80137) = 21 × 71 × 591 × 971 × 1271 × 6311
LCM(80122,80137) = 6420736714