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What is the Least Common Multiple of 97759 and 97778?

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 97759 and 97778 is 9558679502.

LCM(97759,97778) = 9558679502

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Least Common Multiple of 97759 and 97778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97759 and 97778, than apply into the LCM equation.

GCF(97759,97778) = 1
LCM(97759,97778) = ( 97759 × 97778) / 1
LCM(97759,97778) = 9558679502 / 1
LCM(97759,97778) = 9558679502

Least Common Multiple (LCM) of 97759 and 97778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97759 and 97778. First we will calculate the prime factors of 97759 and 97778.

Prime Factorization of 97759

Prime factors of 97759 are 29, 3371. Prime factorization of 97759 in exponential form is:

97759 = 291 × 33711

Prime Factorization of 97778

Prime factors of 97778 are 2, 48889. Prime factorization of 97778 in exponential form is:

97778 = 21 × 488891

Now multiplying the highest exponent prime factors to calculate the LCM of 97759 and 97778.

LCM(97759,97778) = 291 × 33711 × 21 × 488891
LCM(97759,97778) = 9558679502