What is the Least Common Multiple of 48078 and 48088?
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 48078 and 48088 is 1155987432.
LCM(48078,48088) = 1155987432
Least Common Multiple of 48078 and 48088 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48078 and 48088, than apply into the LCM equation.
GCF(48078,48088) = 2
LCM(48078,48088) = ( 48078 × 48088) / 2
LCM(48078,48088) = 2311974864 / 2
LCM(48078,48088) = 1155987432
Least Common Multiple (LCM) of 48078 and 48088 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48078 and 48088. First we will calculate the prime factors of 48078 and 48088.
Prime Factorization of 48078
Prime factors of 48078 are 2, 3, 2671. Prime factorization of 48078 in exponential form is:
48078 = 21 × 32 × 26711
Prime Factorization of 48088
Prime factors of 48088 are 2, 6011. Prime factorization of 48088 in exponential form is:
48088 = 23 × 60111
Now multiplying the highest exponent prime factors to calculate the LCM of 48078 and 48088.
LCM(48078,48088) = 23 × 32 × 26711 × 60111
LCM(48078,48088) = 1155987432
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