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What is the Least Common Multiple of 73951 and 73969?

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 73951 and 73969 is 5470081519.

LCM(73951,73969) = 5470081519

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Least Common Multiple of 73951 and 73969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73951 and 73969, than apply into the LCM equation.

GCF(73951,73969) = 1
LCM(73951,73969) = ( 73951 × 73969) / 1
LCM(73951,73969) = 5470081519 / 1
LCM(73951,73969) = 5470081519

Least Common Multiple (LCM) of 73951 and 73969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73951 and 73969. First we will calculate the prime factors of 73951 and 73969.

Prime Factorization of 73951

Prime factors of 73951 are 73951. Prime factorization of 73951 in exponential form is:

73951 = 739511

Prime Factorization of 73969

Prime factors of 73969 are 7, 10567. Prime factorization of 73969 in exponential form is:

73969 = 71 × 105671

Now multiplying the highest exponent prime factors to calculate the LCM of 73951 and 73969.

LCM(73951,73969) = 739511 × 71 × 105671
LCM(73951,73969) = 5470081519