What is the Least Common Multiple of 48178 and 48186?
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 48178 and 48186 is 1160752554.
LCM(48178,48186) = 1160752554
Least Common Multiple of 48178 and 48186 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48178 and 48186, than apply into the LCM equation.
GCF(48178,48186) = 2
LCM(48178,48186) = ( 48178 × 48186) / 2
LCM(48178,48186) = 2321505108 / 2
LCM(48178,48186) = 1160752554
Least Common Multiple (LCM) of 48178 and 48186 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48178 and 48186. First we will calculate the prime factors of 48178 and 48186.
Prime Factorization of 48178
Prime factors of 48178 are 2, 13, 17, 109. Prime factorization of 48178 in exponential form is:
48178 = 21 × 131 × 171 × 1091
Prime Factorization of 48186
Prime factors of 48186 are 2, 3, 2677. Prime factorization of 48186 in exponential form is:
48186 = 21 × 32 × 26771
Now multiplying the highest exponent prime factors to calculate the LCM of 48178 and 48186.
LCM(48178,48186) = 21 × 131 × 171 × 1091 × 32 × 26771
LCM(48178,48186) = 1160752554
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