What is the Least Common Multiple of 47738 and 47742?
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 47738 and 47742 is 1139553798.
LCM(47738,47742) = 1139553798
Least Common Multiple of 47738 and 47742 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47738 and 47742, than apply into the LCM equation.
GCF(47738,47742) = 2
LCM(47738,47742) = ( 47738 × 47742) / 2
LCM(47738,47742) = 2279107596 / 2
LCM(47738,47742) = 1139553798
Least Common Multiple (LCM) of 47738 and 47742 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 47738 and 47742. First we will calculate the prime factors of 47738 and 47742.
Prime Factorization of 47738
Prime factors of 47738 are 2, 23869. Prime factorization of 47738 in exponential form is:
47738 = 21 × 238691
Prime Factorization of 47742
Prime factors of 47742 are 2, 3, 73, 109. Prime factorization of 47742 in exponential form is:
47742 = 21 × 31 × 731 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 47738 and 47742.
LCM(47738,47742) = 21 × 238691 × 31 × 731 × 1091
LCM(47738,47742) = 1139553798
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Related Least Common Multiples of 47742
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