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What is the Least Common Multiple of 90950 and 90970?

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 90950 and 90970 is 827372150.

LCM(90950,90970) = 827372150

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Least Common Multiple of 90950 and 90970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90950 and 90970, than apply into the LCM equation.

GCF(90950,90970) = 10
LCM(90950,90970) = ( 90950 × 90970) / 10
LCM(90950,90970) = 8273721500 / 10
LCM(90950,90970) = 827372150

Least Common Multiple (LCM) of 90950 and 90970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90950 and 90970. First we will calculate the prime factors of 90950 and 90970.

Prime Factorization of 90950

Prime factors of 90950 are 2, 5, 17, 107. Prime factorization of 90950 in exponential form is:

90950 = 21 × 52 × 171 × 1071

Prime Factorization of 90970

Prime factors of 90970 are 2, 5, 11, 827. Prime factorization of 90970 in exponential form is:

90970 = 21 × 51 × 111 × 8271

Now multiplying the highest exponent prime factors to calculate the LCM of 90950 and 90970.

LCM(90950,90970) = 21 × 52 × 171 × 1071 × 111 × 8271
LCM(90950,90970) = 827372150