What is the Least Common Multiple of 48748 and 48758?
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 48748 and 48758 is 1188427492.
LCM(48748,48758) = 1188427492
Least Common Multiple of 48748 and 48758 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48748 and 48758, than apply into the LCM equation.
GCF(48748,48758) = 2
LCM(48748,48758) = ( 48748 × 48758) / 2
LCM(48748,48758) = 2376854984 / 2
LCM(48748,48758) = 1188427492
Least Common Multiple (LCM) of 48748 and 48758 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48748 and 48758. First we will calculate the prime factors of 48748 and 48758.
Prime Factorization of 48748
Prime factors of 48748 are 2, 7, 1741. Prime factorization of 48748 in exponential form is:
48748 = 22 × 71 × 17411
Prime Factorization of 48758
Prime factors of 48758 are 2, 24379. Prime factorization of 48758 in exponential form is:
48758 = 21 × 243791
Now multiplying the highest exponent prime factors to calculate the LCM of 48748 and 48758.
LCM(48748,48758) = 22 × 71 × 17411 × 243791
LCM(48748,48758) = 1188427492
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