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What is the Least Common Multiple of 66968 and 66987?

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 66968 and 66987 is 4485985416.

LCM(66968,66987) = 4485985416

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Least Common Multiple of 66968 and 66987 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66968 and 66987, than apply into the LCM equation.

GCF(66968,66987) = 1
LCM(66968,66987) = ( 66968 × 66987) / 1
LCM(66968,66987) = 4485985416 / 1
LCM(66968,66987) = 4485985416

Least Common Multiple (LCM) of 66968 and 66987 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66968 and 66987. First we will calculate the prime factors of 66968 and 66987.

Prime Factorization of 66968

Prime factors of 66968 are 2, 11, 761. Prime factorization of 66968 in exponential form is:

66968 = 23 × 111 × 7611

Prime Factorization of 66987

Prime factors of 66987 are 3, 827. Prime factorization of 66987 in exponential form is:

66987 = 34 × 8271

Now multiplying the highest exponent prime factors to calculate the LCM of 66968 and 66987.

LCM(66968,66987) = 23 × 111 × 7611 × 34 × 8271
LCM(66968,66987) = 4485985416