What is the Least Common Multiple of 48634 and 48642?
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 48634 and 48642 is 1182827514.
LCM(48634,48642) = 1182827514
Least Common Multiple of 48634 and 48642 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48634 and 48642, than apply into the LCM equation.
GCF(48634,48642) = 2
LCM(48634,48642) = ( 48634 × 48642) / 2
LCM(48634,48642) = 2365655028 / 2
LCM(48634,48642) = 1182827514
Least Common Multiple (LCM) of 48634 and 48642 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48634 and 48642. First we will calculate the prime factors of 48634 and 48642.
Prime Factorization of 48634
Prime factors of 48634 are 2, 24317. Prime factorization of 48634 in exponential form is:
48634 = 21 × 243171
Prime Factorization of 48642
Prime factors of 48642 are 2, 3, 11, 67. Prime factorization of 48642 in exponential form is:
48642 = 21 × 31 × 112 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 48634 and 48642.
LCM(48634,48642) = 21 × 243171 × 31 × 112 × 671
LCM(48634,48642) = 1182827514
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