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What is the Least Common Multiple of 47974 and 47984?

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 47974 and 47984 is 1150992208.

LCM(47974,47984) = 1150992208

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Least Common Multiple of 47974 and 47984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47974 and 47984, than apply into the LCM equation.

GCF(47974,47984) = 2
LCM(47974,47984) = ( 47974 × 47984) / 2
LCM(47974,47984) = 2301984416 / 2
LCM(47974,47984) = 1150992208

Least Common Multiple (LCM) of 47974 and 47984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47974 and 47984. First we will calculate the prime factors of 47974 and 47984.

Prime Factorization of 47974

Prime factors of 47974 are 2, 17, 83. Prime factorization of 47974 in exponential form is:

47974 = 21 × 172 × 831

Prime Factorization of 47984

Prime factors of 47984 are 2, 2999. Prime factorization of 47984 in exponential form is:

47984 = 24 × 29991

Now multiplying the highest exponent prime factors to calculate the LCM of 47974 and 47984.

LCM(47974,47984) = 24 × 172 × 831 × 29991
LCM(47974,47984) = 1150992208