What is the Least Common Multiple of 139 and 150?
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 139 and 150 is 20850.
LCM(139,150) = 20850
Least Common Multiple of 139 and 150 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 139 and 150, than apply into the LCM equation.
GCF(139,150) = 1
LCM(139,150) = ( 139 × 150) / 1
LCM(139,150) = 20850 / 1
LCM(139,150) = 20850
Least Common Multiple (LCM) of 139 and 150 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 139 and 150. First we will calculate the prime factors of 139 and 150.
Prime Factorization of 139
Prime factors of 139 are 139. Prime factorization of 139 in exponential form is:
139 = 1391
Prime Factorization of 150
Prime factors of 150 are 2, 3, 5. Prime factorization of 150 in exponential form is:
150 = 21 × 31 × 52
Now multiplying the highest exponent prime factors to calculate the LCM of 139 and 150.
LCM(139,150) = 1391 × 21 × 31 × 52
LCM(139,150) = 20850
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