What is the Least Common Multiple of 62685 and 62692?
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 62685 and 62692 is 561406860.
LCM(62685,62692) = 561406860
Least Common Multiple of 62685 and 62692 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62685 and 62692, than apply into the LCM equation.
GCF(62685,62692) = 7
LCM(62685,62692) = ( 62685 × 62692) / 7
LCM(62685,62692) = 3929848020 / 7
LCM(62685,62692) = 561406860
Least Common Multiple (LCM) of 62685 and 62692 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62685 and 62692. First we will calculate the prime factors of 62685 and 62692.
Prime Factorization of 62685
Prime factors of 62685 are 3, 5, 7, 199. Prime factorization of 62685 in exponential form is:
62685 = 32 × 51 × 71 × 1991
Prime Factorization of 62692
Prime factors of 62692 are 2, 7, 2239. Prime factorization of 62692 in exponential form is:
62692 = 22 × 71 × 22391
Now multiplying the highest exponent prime factors to calculate the LCM of 62685 and 62692.
LCM(62685,62692) = 32 × 51 × 71 × 1991 × 22 × 22391
LCM(62685,62692) = 561406860
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