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What is the Least Common Multiple of 68942 and 68946?

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 68942 and 68946 is 2376637566.

LCM(68942,68946) = 2376637566

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Least Common Multiple of 68942 and 68946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68942 and 68946, than apply into the LCM equation.

GCF(68942,68946) = 2
LCM(68942,68946) = ( 68942 × 68946) / 2
LCM(68942,68946) = 4753275132 / 2
LCM(68942,68946) = 2376637566

Least Common Multiple (LCM) of 68942 and 68946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68942 and 68946. First we will calculate the prime factors of 68942 and 68946.

Prime Factorization of 68942

Prime factors of 68942 are 2, 34471. Prime factorization of 68942 in exponential form is:

68942 = 21 × 344711

Prime Factorization of 68946

Prime factors of 68946 are 2, 3, 11491. Prime factorization of 68946 in exponential form is:

68946 = 21 × 31 × 114911

Now multiplying the highest exponent prime factors to calculate the LCM of 68942 and 68946.

LCM(68942,68946) = 21 × 344711 × 31 × 114911
LCM(68942,68946) = 2376637566