What is the Least Common Multiple of 56662 and 56667?
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 56662 and 56667 is 3210865554.
LCM(56662,56667) = 3210865554
Least Common Multiple of 56662 and 56667 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56662 and 56667, than apply into the LCM equation.
GCF(56662,56667) = 1
LCM(56662,56667) = ( 56662 × 56667) / 1
LCM(56662,56667) = 3210865554 / 1
LCM(56662,56667) = 3210865554
Least Common Multiple (LCM) of 56662 and 56667 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56662 and 56667. First we will calculate the prime factors of 56662 and 56667.
Prime Factorization of 56662
Prime factors of 56662 are 2, 41, 691. Prime factorization of 56662 in exponential form is:
56662 = 21 × 411 × 6911
Prime Factorization of 56667
Prime factors of 56667 are 3, 13, 1453. Prime factorization of 56667 in exponential form is:
56667 = 31 × 131 × 14531
Now multiplying the highest exponent prime factors to calculate the LCM of 56662 and 56667.
LCM(56662,56667) = 21 × 411 × 6911 × 31 × 131 × 14531
LCM(56662,56667) = 3210865554
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