What is the Least Common Multiple of 83950 and 83955?
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 83950 and 83955 is 1409604450.
LCM(83950,83955) = 1409604450
Least Common Multiple of 83950 and 83955 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83950 and 83955, than apply into the LCM equation.
GCF(83950,83955) = 5
LCM(83950,83955) = ( 83950 × 83955) / 5
LCM(83950,83955) = 7048022250 / 5
LCM(83950,83955) = 1409604450
Least Common Multiple (LCM) of 83950 and 83955 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 83950 and 83955. First we will calculate the prime factors of 83950 and 83955.
Prime Factorization of 83950
Prime factors of 83950 are 2, 5, 23, 73. Prime factorization of 83950 in exponential form is:
83950 = 21 × 52 × 231 × 731
Prime Factorization of 83955
Prime factors of 83955 are 3, 5, 29, 193. Prime factorization of 83955 in exponential form is:
83955 = 31 × 51 × 291 × 1931
Now multiplying the highest exponent prime factors to calculate the LCM of 83950 and 83955.
LCM(83950,83955) = 21 × 52 × 231 × 731 × 31 × 291 × 1931
LCM(83950,83955) = 1409604450
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