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What is the Least Common Multiple of 47962 and 47966?

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 47962 and 47966 is 1150272646.

LCM(47962,47966) = 1150272646

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Least Common Multiple of 47962 and 47966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47962 and 47966, than apply into the LCM equation.

GCF(47962,47966) = 2
LCM(47962,47966) = ( 47962 × 47966) / 2
LCM(47962,47966) = 2300545292 / 2
LCM(47962,47966) = 1150272646

Least Common Multiple (LCM) of 47962 and 47966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47962 and 47966. First we will calculate the prime factors of 47962 and 47966.

Prime Factorization of 47962

Prime factors of 47962 are 2, 23981. Prime factorization of 47962 in exponential form is:

47962 = 21 × 239811

Prime Factorization of 47966

Prime factors of 47966 are 2, 29, 827. Prime factorization of 47966 in exponential form is:

47966 = 21 × 291 × 8271

Now multiplying the highest exponent prime factors to calculate the LCM of 47962 and 47966.

LCM(47962,47966) = 21 × 239811 × 291 × 8271
LCM(47962,47966) = 1150272646