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What is the Least Common Multiple of 77950 and 77958?

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 77950 and 77958 is 3038413050.

LCM(77950,77958) = 3038413050

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Least Common Multiple of 77950 and 77958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77950 and 77958, than apply into the LCM equation.

GCF(77950,77958) = 2
LCM(77950,77958) = ( 77950 × 77958) / 2
LCM(77950,77958) = 6076826100 / 2
LCM(77950,77958) = 3038413050

Least Common Multiple (LCM) of 77950 and 77958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77950 and 77958. First we will calculate the prime factors of 77950 and 77958.

Prime Factorization of 77950

Prime factors of 77950 are 2, 5, 1559. Prime factorization of 77950 in exponential form is:

77950 = 21 × 52 × 15591

Prime Factorization of 77958

Prime factors of 77958 are 2, 3, 61, 71. Prime factorization of 77958 in exponential form is:

77958 = 21 × 32 × 611 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 77950 and 77958.

LCM(77950,77958) = 21 × 52 × 15591 × 32 × 611 × 711
LCM(77950,77958) = 3038413050