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What is the Least Common Multiple of 96061 and 96078?

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 96061 and 96078 is 9229348758.

LCM(96061,96078) = 9229348758

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Least Common Multiple of 96061 and 96078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96061 and 96078, than apply into the LCM equation.

GCF(96061,96078) = 1
LCM(96061,96078) = ( 96061 × 96078) / 1
LCM(96061,96078) = 9229348758 / 1
LCM(96061,96078) = 9229348758

Least Common Multiple (LCM) of 96061 and 96078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96061 and 96078. First we will calculate the prime factors of 96061 and 96078.

Prime Factorization of 96061

Prime factors of 96061 are 7, 13723. Prime factorization of 96061 in exponential form is:

96061 = 71 × 137231

Prime Factorization of 96078

Prime factors of 96078 are 2, 3, 67, 239. Prime factorization of 96078 in exponential form is:

96078 = 21 × 31 × 671 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 96061 and 96078.

LCM(96061,96078) = 71 × 137231 × 21 × 31 × 671 × 2391
LCM(96061,96078) = 9229348758