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What is the Least Common Multiple of 66974 and 66988?

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 66974 and 66988 is 2243227156.

LCM(66974,66988) = 2243227156

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Least Common Multiple of 66974 and 66988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66974 and 66988, than apply into the LCM equation.

GCF(66974,66988) = 2
LCM(66974,66988) = ( 66974 × 66988) / 2
LCM(66974,66988) = 4486454312 / 2
LCM(66974,66988) = 2243227156

Least Common Multiple (LCM) of 66974 and 66988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66974 and 66988. First we will calculate the prime factors of 66974 and 66988.

Prime Factorization of 66974

Prime factors of 66974 are 2, 33487. Prime factorization of 66974 in exponential form is:

66974 = 21 × 334871

Prime Factorization of 66988

Prime factors of 66988 are 2, 16747. Prime factorization of 66988 in exponential form is:

66988 = 22 × 167471

Now multiplying the highest exponent prime factors to calculate the LCM of 66974 and 66988.

LCM(66974,66988) = 22 × 334871 × 167471
LCM(66974,66988) = 2243227156