What is the Least Common Multiple of 56634 and 56654?
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 56634 and 56654 is 1604271318.
LCM(56634,56654) = 1604271318
Least Common Multiple of 56634 and 56654 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56634 and 56654, than apply into the LCM equation.
GCF(56634,56654) = 2
LCM(56634,56654) = ( 56634 × 56654) / 2
LCM(56634,56654) = 3208542636 / 2
LCM(56634,56654) = 1604271318
Least Common Multiple (LCM) of 56634 and 56654 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56634 and 56654. First we will calculate the prime factors of 56634 and 56654.
Prime Factorization of 56634
Prime factors of 56634 are 2, 3, 9439. Prime factorization of 56634 in exponential form is:
56634 = 21 × 31 × 94391
Prime Factorization of 56654
Prime factors of 56654 are 2, 13, 2179. Prime factorization of 56654 in exponential form is:
56654 = 21 × 131 × 21791
Now multiplying the highest exponent prime factors to calculate the LCM of 56634 and 56654.
LCM(56634,56654) = 21 × 31 × 94391 × 131 × 21791
LCM(56634,56654) = 1604271318
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