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What is the Least Common Multiple of 73950 and 73970?

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 73950 and 73970 is 547008150.

LCM(73950,73970) = 547008150

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Least Common Multiple of 73950 and 73970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73950 and 73970, than apply into the LCM equation.

GCF(73950,73970) = 10
LCM(73950,73970) = ( 73950 × 73970) / 10
LCM(73950,73970) = 5470081500 / 10
LCM(73950,73970) = 547008150

Least Common Multiple (LCM) of 73950 and 73970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73950 and 73970. First we will calculate the prime factors of 73950 and 73970.

Prime Factorization of 73950

Prime factors of 73950 are 2, 3, 5, 17, 29. Prime factorization of 73950 in exponential form is:

73950 = 21 × 31 × 52 × 171 × 291

Prime Factorization of 73970

Prime factors of 73970 are 2, 5, 13, 569. Prime factorization of 73970 in exponential form is:

73970 = 21 × 51 × 131 × 5691

Now multiplying the highest exponent prime factors to calculate the LCM of 73950 and 73970.

LCM(73950,73970) = 21 × 31 × 52 × 171 × 291 × 131 × 5691
LCM(73950,73970) = 547008150