What is the Least Common Multiple of 48701 and 48706?
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 48701 and 48706 is 2372030906.
LCM(48701,48706) = 2372030906
Least Common Multiple of 48701 and 48706 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48701 and 48706, than apply into the LCM equation.
GCF(48701,48706) = 1
LCM(48701,48706) = ( 48701 × 48706) / 1
LCM(48701,48706) = 2372030906 / 1
LCM(48701,48706) = 2372030906
Least Common Multiple (LCM) of 48701 and 48706 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48701 and 48706. First we will calculate the prime factors of 48701 and 48706.
Prime Factorization of 48701
Prime factors of 48701 are 31, 1571. Prime factorization of 48701 in exponential form is:
48701 = 311 × 15711
Prime Factorization of 48706
Prime factors of 48706 are 2, 7, 71. Prime factorization of 48706 in exponential form is:
48706 = 21 × 73 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 48701 and 48706.
LCM(48701,48706) = 311 × 15711 × 21 × 73 × 711
LCM(48701,48706) = 2372030906
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