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What is the Least Common Multiple of 68954 and 68967?

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 68954 and 68967 is 4755550518.

LCM(68954,68967) = 4755550518

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Least Common Multiple of 68954 and 68967 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68954 and 68967, than apply into the LCM equation.

GCF(68954,68967) = 1
LCM(68954,68967) = ( 68954 × 68967) / 1
LCM(68954,68967) = 4755550518 / 1
LCM(68954,68967) = 4755550518

Least Common Multiple (LCM) of 68954 and 68967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68954 and 68967. First we will calculate the prime factors of 68954 and 68967.

Prime Factorization of 68954

Prime factors of 68954 are 2, 23, 1499. Prime factorization of 68954 in exponential form is:

68954 = 21 × 231 × 14991

Prime Factorization of 68967

Prime factors of 68967 are 3, 79, 97. Prime factorization of 68967 in exponential form is:

68967 = 32 × 791 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 68954 and 68967.

LCM(68954,68967) = 21 × 231 × 14991 × 32 × 791 × 971
LCM(68954,68967) = 4755550518