What is the Least Common Multiple of 49638 and 49651?
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 49638 and 49651 is 2464576338.
LCM(49638,49651) = 2464576338
Least Common Multiple of 49638 and 49651 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49638 and 49651, than apply into the LCM equation.
GCF(49638,49651) = 1
LCM(49638,49651) = ( 49638 × 49651) / 1
LCM(49638,49651) = 2464576338 / 1
LCM(49638,49651) = 2464576338
Least Common Multiple (LCM) of 49638 and 49651 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49638 and 49651. First we will calculate the prime factors of 49638 and 49651.
Prime Factorization of 49638
Prime factors of 49638 are 2, 3, 8273. Prime factorization of 49638 in exponential form is:
49638 = 21 × 31 × 82731
Prime Factorization of 49651
Prime factors of 49651 are 7, 41, 173. Prime factorization of 49651 in exponential form is:
49651 = 71 × 411 × 1731
Now multiplying the highest exponent prime factors to calculate the LCM of 49638 and 49651.
LCM(49638,49651) = 21 × 31 × 82731 × 71 × 411 × 1731
LCM(49638,49651) = 2464576338
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