What is the Least Common Multiple of 56658 and 56662?
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 56658 and 56662 is 1605177798.
LCM(56658,56662) = 1605177798
Least Common Multiple of 56658 and 56662 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56658 and 56662, than apply into the LCM equation.
GCF(56658,56662) = 2
LCM(56658,56662) = ( 56658 × 56662) / 2
LCM(56658,56662) = 3210355596 / 2
LCM(56658,56662) = 1605177798
Least Common Multiple (LCM) of 56658 and 56662 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56658 and 56662. First we will calculate the prime factors of 56658 and 56662.
Prime Factorization of 56658
Prime factors of 56658 are 2, 3, 7, 19, 71. Prime factorization of 56658 in exponential form is:
56658 = 21 × 31 × 71 × 191 × 711
Prime Factorization of 56662
Prime factors of 56662 are 2, 41, 691. Prime factorization of 56662 in exponential form is:
56662 = 21 × 411 × 6911
Now multiplying the highest exponent prime factors to calculate the LCM of 56658 and 56662.
LCM(56658,56662) = 21 × 31 × 71 × 191 × 711 × 411 × 6911
LCM(56658,56662) = 1605177798
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