What is the Least Common Multiple of 76846 and 76862?
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 76846 and 76862 is 2953268626.
LCM(76846,76862) = 2953268626
Least Common Multiple of 76846 and 76862 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76846 and 76862, than apply into the LCM equation.
GCF(76846,76862) = 2
LCM(76846,76862) = ( 76846 × 76862) / 2
LCM(76846,76862) = 5906537252 / 2
LCM(76846,76862) = 2953268626
Least Common Multiple (LCM) of 76846 and 76862 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76846 and 76862. First we will calculate the prime factors of 76846 and 76862.
Prime Factorization of 76846
Prime factors of 76846 are 2, 7, 11, 499. Prime factorization of 76846 in exponential form is:
76846 = 21 × 71 × 111 × 4991
Prime Factorization of 76862
Prime factors of 76862 are 2, 38431. Prime factorization of 76862 in exponential form is:
76862 = 21 × 384311
Now multiplying the highest exponent prime factors to calculate the LCM of 76846 and 76862.
LCM(76846,76862) = 21 × 71 × 111 × 4991 × 384311
LCM(76846,76862) = 2953268626
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